Pith Number

pith:O5HVXF7K

pith:2018:O5HVXF7K3M7DIFBDLCZPPLT2L7

not attested not anchored not stored refs pending

Stochastic 3D Leray-$\alpha$ Model with Fractional Dissipation

Shihu Li, Wei Liu, Yingchao Xie

arxiv:1805.11939 v2 · 2018-05-30 · math.AP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5HVXF7K3M7DIFBDLCZPPLT2L7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:13:57.361981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

774f5b97eadb3e34142358b2f7ae7a5fd588c0cb02eef4fb1b7c2030d2ed5fca

Aliases

arxiv: 1805.11939 · arxiv_version: 1805.11939v2 · doi: 10.48550/arxiv.1805.11939 · pith_short_12: O5HVXF7K3M7D · pith_short_16: O5HVXF7K3M7DIFBD · pith_short_8: O5HVXF7K

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/O5HVXF7K3M7DIFBDLCZPPLT2L7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 774f5b97eadb3e34142358b2f7ae7a5fd588c0cb02eef4fb1b7c2030d2ed5fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3842c6cbf185be29673e34d0e874476457c502606f56b2b10221835a9e71654b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-30T13:26:21Z",
    "title_canon_sha256": "ac501cb08933b55cae43102c2769c9db1230bb35f6a835fd259b80790122f613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11939",
    "kind": "arxiv",
    "version": 2
  }
}